Phase transitions in a coupled viscoelastic system with periodic initial-boundary condition: (I) Existence and uniform boundedness

Ming Mei; Yau Shu Wong; Liping Liu

doi:10.3934/dcdsb.2007.7.825

Article Contents

2007, Volume 7, Issue 4: 825-837. Doi: 10.3934/dcdsb.2007.7.825

This issue Previous Article Error estimation of a class of quadratic immersed finite element methods for elliptic interface problems Next Article Multiscale methods for parabolic equations with continuum spatial scales

Phase transitions in a coupled viscoelastic system with periodic initial-boundary condition: (I) Existence and uniform boundedness

1.
Department of Mathematics and Statistics, McGill University, Montreal, Quebec H3A 2K6
2.
Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, T6G 2G1
3.
Department of Mathematics, University of Texas-Pan American, Edinburg, TX 78539-2999

Received: May 31, 2006

Revised: December 31, 2006

Published: October 2007

Abstract Related Papers Cited by

Abstract

This paper focuses on the phase transitions of a 2$\times$2 system of mixed type for viscosity-capillarity with periodic initial-boundary condition in a viscoelastic material. By the Liapunov functional method, we prove the existence, uniqueness, regularity and uniform boundedness of the solution. The results are correct even for large initial data.

Keywords:

Phase transitions,
viscoelasticity,
periodic initial-boundary value problem,
global existence,
uniform boundedness,
Liapunov functional.

Mathematics Subject Classification: Primary: 35R10, 35B40, 34K30; Secondary: 58D25.

Citation:

Article Metrics

HTML views() PDF downloads(72) Cited by(0)

Phase transitions in a coupled viscoelastic system with periodic initial-boundary condition: (I) Existence and uniform boundedness

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Phase transitions in a coupled viscoelastic system with periodic initial-boundary condition: (I) Existence and uniform boundedness

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content